GATE2015-3-42

For a given matrix $P=\begin{bmatrix} 4+3i & -i\\ i & 4-3i \end{bmatrix}$, where $i=\sqrt{-1}$, the inverse of matrix $P$ is

1. $P=\displaystyle{\frac{1}{24}}\begin{bmatrix} 4-3i & i\\ -i & 4+3i \end{bmatrix} \\$
2. $P=\displaystyle{\frac{1}{25}}\begin{bmatrix} i & 4-3i\\ 4+3i & -i \end{bmatrix} \\$
3. $P=\displaystyle{\frac{1}{24}}\begin{bmatrix} 4+3i & -i\\ i & 4-3i \end{bmatrix} \\$
4. $P=\displaystyle{\frac{1}{25}}\begin{bmatrix} 4+3i & -i\\ i & 4-3i \end{bmatrix} \\$

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